Atrain travels 38 miles per hour. at this rate, how far will the train travel in 4 hours?

152 miles.

Step-by-step explanation: For each hour a train travels 38 therefore if it drove 2 hours it would drive double the distance and so forth.

38 x 4 = 152 miles.

152 because if you multiply 38 with 4, you get 152.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.